In a bowl, combine flour, baking soda, salt, cinnamon and nutmeg. Set aside.
In a large bowl, mix together eggs, white sugar, brown sugar, vegetable oil, applesauce and vanilla extract. Mix in strawberries and bananas. Add in the flour mixture just until blended.
Bake for 1 hour or until inserted toothpick comes out clean.
Recipe by Sugar, Spice and Family Life at https://sugarspiceandfamilylife.com/2014/02/strawberry-banana-bread.html